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Finding the Fourth Proportional to 2,298.05, 3,446.06 and 654.22

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Solution

The fourth proportional to 2,298.05, 3,446.06 and 654.22 is: 981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.05 : 3,446.06 = 654.22 : x
  2. Step 2: Convert to fraction form
    2,298.05/3,446.06 = 654.22/x
  3. Step 3: Cross multiply
    2,298.05x = 3,446.06 × 654.22
  4. Step 4: Simplify right side
    2,298.05x = 2,254,486.72
  5. Step 5: Solve for x
    x = 2,254,486.72/2,298.05
  6. Step 6: Final answer
    x = 981.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.